What is the Least Common Multiple of 5854 and 5865?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 5854 and 5865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5854 and 5865, than apply into the LCM equation.

GCF(5854,5865) = 1
LCM(5854,5865) = ( 5854 × 5865) / 1
LCM(5854,5865) = 34333710 / 1
LCM(5854,5865) = 34333710

Least Common Multiple (LCM) of 5854 and 5865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5854 and 5865. First we will calculate the prime factors of 5854 and 5865.

Prime Factorization of 5854

Prime Factorization of 5865

Now multiplying the highest exponent prime factors to calculate the LCM of 5854 and 5865.

LCM(5854,5865) = 2¹ × 2927¹ × 3¹ × 5¹ × 17¹ × 23¹
LCM(5854,5865) = 34333710